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arXiv · 2401.16000

Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network

Toshiya Hikihara·Hiroshi Ueda·Kouichi Okunishi·Kenji Harada·Tomotoshi Nishino
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Abstract

In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev. Research 5, 013031 (2023)], we proposed a structural optimization algorithm for tree-tensor networks. In this paper, we apply the algorithm to the Rainbow-chain model, which has a product state of singlet pairs between spins separated by various distances as an approximate ground state. We then demonstrate that the algorithm can successfully visualize the spatial pattern of spin-singlet pairs in the ground state.

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Toshiya Hikihara, Hiroshi Ueda, Kouichi Okunishi, Kenji Harada, Tomotoshi Nishino. 2024-01-29. Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network. https://arxiv.org/abs/2401.16000

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